Finding the Third Proportional to 2,823 and 5,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,823 : 5,842.50 = 5,842.50 : x
2. Step 2: Convert to fraction form
   2,823/5,842.50 = 5,842.50/x
3. Step 3: Cross multiply
   2,823x = 5,842.50 × 5,842.50
4. Step 4: Simplify right side
   2,823x = 34,134,806.25
5. Step 5: Solve for x
   x = 34,134,806.25/2,823
6. Step 6: Final answer
   x = 12,091.68